19944094252800 has 864 divisors, whose sum is σ = 72325879736320. Its totient is φ = 4821766963200.

The previous prime is 19944094252793. The next prime is 19944094252847. The reversal of 19944094252800 is 825249044991.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 823341489 + ... + 823365711.

Almost surely, 2^{19944094252800} is an apocalyptic number.

19944094252800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19944094252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36162939868160).

19944094252800 is an abundant number, since it is smaller than the sum of its proper divisors (52381785483520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19944094252800 is a wasteful number, since it uses less digits than its factorization.

19944094252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24369 (or 24350 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 19944094252800 in words is "nineteen trillion, nine hundred forty-four billion, ninety-four million, two hundred fifty-two thousand, eight hundred".